Question

Write the slope-intercept form of equation. 9x + 3y = 27

Answer 1

slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

$\dashrightarrow \ \sf9x + 3y = 27$

$\dashrightarrow \ \sf 3y = 27 -9x$

$\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}$

$\dashrightarrow \ \sf y = -3x + 9$

Here, the "slope is -3"  and  "y-intercept is 9"

Answer 2

Slope intercept form:-

• y=mx+b

Now convert

• 9x+3y=27
• 3y=-9x+27
• 3y=3(-3x+9)

Cancel 3

• y=-3x+9